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Find the midpoint of the following two points: (-4, -7) and (11, -2).

The midpoint is (x, y).

x-coordinate (round to the nearest tenth if needed):
y-coordinate (round to the nearest tenth if needed):


Sagot :

To find the midpoint of the two points [tex]\((-4,-7)\)[/tex] and [tex]\( (11,-2)\)[/tex], we follow these steps:

1. Understand the Midpoint Formula:

The formula to find the midpoint [tex]\((x, y)\)[/tex] between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:
[tex]\[ \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \][/tex]

2. Identify the Coordinates:

[tex]\[ (x_1, y_1) = (-4, -7) \][/tex]
[tex]\[ (x_2, y_2) = (11, -2) \][/tex]

3. Calculate the x-coordinate of the Midpoint:

[tex]\[ x = \frac{x_1 + x_2}{2} = \frac{-4 + 11}{2} = \frac{7}{2} = 3.5 \][/tex]

4. Calculate the y-coordinate of the Midpoint:

[tex]\[ y = \frac{y_1 + y_2}{2} = \frac{-7 + (-2)}{2} = \frac{-9}{2} = -4.5 \][/tex]

So, the x-coordinate of the midpoint, rounded to the nearest tenth, is:
[tex]\[ x = 3.5 \][/tex]

And the y-coordinate of the midpoint, rounded to the nearest tenth, is:
[tex]\[ y = -4.5 \][/tex]